1. You will need to type in all your answers directly into Gradescope. Make sure you simplify...
Question:
1. You will need to type in all your answers directly into Gradescope. Make sure you simplify all your
answers to integers. To simplify answers with factorials, you may find online tools such as https:
//www.wolframalpha.com/ to be helpful.
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on how to use LATEX can be found at https://www.overleaf.com/learn/latex/Free_online_introduction_to_
LaTeX_(part_1)
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1. 5 points
How many numbers must be selected from the set {1, 4, 6, 8, 9, 13, 14, 16, 18, 21} to guarantee that at least one
pair of these numbers adds up to exactly 22? Simplify your answer to an integer.
2. 5 points
How many different combinations of pennies, nickels, dimes, and quarters can a piggy bank contain if it has
29 coins in it? Simplify your answer to an integer.
3. 5 points
How many different ways are there to choose 13 donuts if the shop offers 19 different varieties to choose
from? Simplify your answer to an integer.
4. 5 points each
Imagine you are drawing cards from a standard deck of 52 cards. For each of the following, determine the
minimum number of cards you must draw from the deck to guarantee that those cards have been drawn.
Simplify all your answers to integers.
a) A Straight (5 cards of sequential rank). Hint: when considering the Ace, a straight could be A, 2, 3, 4, 5 or 10, J, Q,
K, A but no other wrap-around is allowed (e.g. Q, K, A, 2, 3 is not allowed)
b) A Flush (5 cards of the same suit)
c) A Full House (3 cards of 1 rank and 2 from a different rank)
d) A Straight Flush (5 cards of sequential rank from the same suit)
1
Fundamentals of Financial Accounting
ISBN: 978-0078025914
5th edition
Authors: Fred Phillips, Robert Libby, Patricia Libby